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L is a smooth conducting loop of radius l=1.0 m & fixed in a horizontal plane. A conducting rod of mass m=1.0 kg and length slightly greater than l hinged at the centre of the loop can rotate in the horizontal plane such that the free end slide on the rim of the loop. There is a uniform magnetic field of strength B=1.0 T directed vertically downward. The rod is rotated with angular velocity omega_(0)=1.0 rad//s and left. The fixed end of the rod and the rimof the loop are connected through a battery of emf . E, a resistor of resistance R=1.0 Omega, and intially uncharged capacitor of capacitance C=1.0 F in series.Find : (i) the time dependence of emf . E such that the current I_(0)=1.0A in the circuit is constant. (ii) energy supplied by the battery by the time rod stops. |
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